3x-40=2x+13

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Solution for 3x-40=2x+13 equation:


Simplifying
3x + -40 = 2x + 13

Reorder the terms:
-40 + 3x = 2x + 13

Reorder the terms:
-40 + 3x = 13 + 2x

Solving
-40 + 3x = 13 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-40 + 3x + -2x = 13 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-40 + 1x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + 1x = 13 + 0
-40 + 1x = 13

Add '40' to each side of the equation.
-40 + 40 + 1x = 13 + 40

Combine like terms: -40 + 40 = 0
0 + 1x = 13 + 40
1x = 13 + 40

Combine like terms: 13 + 40 = 53
1x = 53

Divide each side by '1'.
x = 53

Simplifying
x = 53

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